Atkin-Lehner |
2+ 3+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23562b |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4131179049586640436 = -1 · 22 · 39 · 7 · 1110 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ 0 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1536018,-738840520] |
[a1,a2,a3,a4,a6] |
j |
-20362049733283722099/209885639871292 |
j-invariant |
L |
0.27105885661545 |
L(r)(E,1)/r! |
Ω |
0.067764714153867 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23562x2 |
Quadratic twists by: -3 |